| 各向异性介质中弹性波动高阶差分法及其稳定性的研究 |
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| 引用本文： | 侯安宁,何樵登.各向异性介质中弹性波动高阶差分法及其稳定性的研究[J].地球物理学报,1995,38(2):243-251. |
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| 作者姓名： | 侯安宁 何樵登 |
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| 作者单位： | 长春地质学院地球物理系, 长春 130026 |
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| 基金项目： | 国家自然科学基金会,中国科学院、石油天然气总公司，大庆石油管理局联合资助 |
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| 摘 要： | 稳定性是数值计算波动方程的最重要条件之一．本文就正交对称和六方对称各向异性介质中的弹性波动方程研究了时间和空间上差分精度可达任意阶的交错网格高阶差分法后，又导出了该方法的稳定性条件．为利用这种既精确又高效的数值方法来研究地震各向异性中的正反演问题提供了理论依据．
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| 关 键 词： | 各向异性介质 弹性波方程 精确高效差分法 稳定性条件 |
| 收稿时间： | 1994-06-20 |
STUDY OF A ELASTIC WAVE HIGH-ORDER DIFFERENCE METHOD AND ITS STABILITY IN ANISOTROPIC MEDIA |
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| Hou AN-NING,HE QIAO-DENG.STUDY OF A ELASTIC WAVE HIGH-ORDER DIFFERENCE METHOD AND ITS STABILITY IN ANISOTROPIC MEDIA[J].Chinese Journal of Geophysics,1995,38(2):243-251. |
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| Authors: | Hou AN-NING HE QIAO-DENG |
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| Institution: | Changchun University of Earth Sciences, Changchun 130026 |
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| Abstract: | Stability is one of the most important conditions in which we numerically solve the wave equations.Using the elastic wave equations in orthorhombic and hexagonal media we have studied the staggered-grid high-order difference method,whose accuracy be arbitrarily in time and space,and deduced the stability conditions of the method.Hence,we have established the basis of applying this accruate-efficient numerical method to forward and inversion problems in seismic anisotropy. |
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| Keywords: | Anisotropic media Elastic wave equations Accurate-efficient finite-differencing Stability condition |
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